anonymous
  • anonymous
SOMEONE HELP!! Find the two products below. Compare and contrast, in complete sentences, the similarities and differences of the two. (x + 6)(x − 6) and (x − 6)(x − 6)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Find the products first. You have to distribute them.
anonymous
  • anonymous
i need help on how to compare and contrast, brb gotta eat @ttnvnusa
anonymous
  • anonymous
@ttnvnusa

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

DebbieG
  • DebbieG
Well, if you did the FOIL multiplication of each, what did you get? There should be an obvious difference between them.
anonymous
  • anonymous
uhh so why would they say there is a difference? so why compare and contrast
DebbieG
  • DebbieG
Did you FOIL them? What are the products? Start there.
DebbieG
  • DebbieG
Yes,like I said, there is a very obvious difference.
anonymous
  • anonymous
who doesnt understand?
anonymous
  • anonymous
right*
anonymous
  • anonymous
florida virtual school
anonymous
  • anonymous
i dont think its wrong
DebbieG
  • DebbieG
There is a difference. If you did the FOIL you should see the difference. If you tell me what you got for the products, I can help you from there.
anonymous
  • anonymous
how old are you... you can't spell lol no offense
DebbieG
  • DebbieG
Or, if not, I'll just move on.
anonymous
  • anonymous
i did foil.... x^2 - 12x + 36 @DebbieG
anonymous
  • anonymous
yes ***(BECAUSE)*** i'm the dumb one.. you can't spell to save your life
DebbieG
  • DebbieG
ok, that's right for one of them. What about the other one?
DebbieG
  • DebbieG
And which one did you get that ^^ result for?
anonymous
  • anonymous
the second one @DebbieG
DebbieG
  • DebbieG
OK, good, now what about the first one? What did you get for that one?
anonymous
  • anonymous
the first one is .. x^2+12+36 @DebbieG
DebbieG
  • DebbieG
No, try again. It's a "special product". That isn't what you get.
anonymous
  • anonymous
hmmmm cause i have a question bout something i don't know a thing? @vk278 wow
DebbieG
  • DebbieG
Look at the two binomials, they have a special form. (a - b)(a + b) When you take that product, something "special" happens. Do it carefully, one piece at a time F-O-I-L.
anonymous
  • anonymous
something little people like you wouldn't understand :p @vk278
anonymous
  • anonymous
@DebbieG x^2 - 6x + 6x - 36
DebbieG
  • DebbieG
OK, good.... now combine those like terms in the middle...
DebbieG
  • DebbieG
@JOshua_Lewis what do you get when you combine the like terms?
anonymous
  • anonymous
what do you mean? like do they cancel each other out?
DebbieG
  • DebbieG
Well, you can think of it as "canceling" although I don't really care for that word here. Simply add them together, what do you get??
anonymous
  • anonymous
12x
anonymous
  • anonymous
or.. -12x
DebbieG
  • DebbieG
Just like you added on the other product: you had -6x-6x and got -12x
DebbieG
  • DebbieG
Hmmm... on this one?? You have: x^2 - 6x + 6x - 36 What is -6x + 6x?
anonymous
  • anonymous
-12x
DebbieG
  • DebbieG
What is -6 + 6?
anonymous
  • anonymous
0
DebbieG
  • DebbieG
RIGHT. So what is -6x + 6x???
anonymous
  • anonymous
at first that's why i said "canceled out"
anonymous
  • anonymous
x^2-36?
DebbieG
  • DebbieG
Right, and I said " you can think of it as "canceling" although I don't really care for that word here. Simply add them together, what do you get??" It's more like they offset each other. But if you like to think of it as canceling, that's fine. I didn't mean to mislead you. :)
DebbieG
  • DebbieG
Exactly! So you have: \((x-6)(x+6)=x^2-36\) And \((x-6)(x-6)=x^2-12x +36\) do you see some differences that you can compare and contrast? About what you end up with, in each case?
anonymous
  • anonymous
IDK how to exactly word it
DebbieG
  • DebbieG
These are both what are often called "special products".... \((x-6)(x+6)\) is the "product of a sum and a difference" and that always gives you a "difference of squares"... the middle terms of the FOIL will go away, since they "offset" (or cancel :) \((x-6)(x-6)=(x-6)^2\) so that is a "perfect square". It always takes a very specific form (depending on whether the binomial you square is a SUM or a DIFFERENCE): \((x-a)^2=x^2-2ax+a^2\) \((x+a)^2=x^2+2ax+a^2\)
DebbieG
  • DebbieG
Well, put it in your own words. The key is the difference in how the FOIL product ends up working out. The "magic" in the product of a sum and a difference is the way the middle terms go away, and leave you with a DIFFERENCE OF SQUARES.
DebbieG
  • DebbieG
\((x-a)(x+a)=x^2-ax+ax-a^2=x^2-a^2\)
anonymous
  • anonymous
well thank you very much! i will for sure come back to you if i have any questions. :)
DebbieG
  • DebbieG
Sure thing, happy to help! :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.